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Finding the Fourth Proportional to 65,219.80, 97,829.70 and 52,097.80

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Solution

The fourth proportional to 65,219.80, 97,829.70 and 52,097.80 is: 78,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.80 : 97,829.70 = 52,097.80 : x
  2. Step 2: Convert to fraction form
    65,219.80/97,829.70 = 52,097.80/x
  3. Step 3: Cross multiply
    65,219.80x = 97,829.70 × 52,097.80
  4. Step 4: Simplify right side
    65,219.80x = 5,096,712,144.66
  5. Step 5: Solve for x
    x = 5,096,712,144.66/65,219.80
  6. Step 6: Final answer
    x = 78,146.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.